GENERALIZED BOUND ON LPT SEQUENCING.

E. G. Coffman, Ravi Sethi

Research output: Contribution to journalArticle

28 Scopus citations

Abstract

For a number of NP-complete sequencing problems, the worst-case performance of heuristics has been bounded relative to optimal performance. The bounds are usually shown to be best in the sense that they are achievable. However, when these bounds are based on a single, pathological example, they are not as informative as might be desired. Such is largely the case with R. L. Graham's bound of 4/3-1/3m on the performance of largest-processing-time-first (LPT) sequencing for the classical problem of minimizing schedule lengths, assuming independent tasks on m greater than equivalent to 2 identical processsors. In this paper Graham's result is generalized to include a parameter characterizing the number of tasks assigned to processors by the LPT rule. The new result will show that the worst-case performance bound for LPT sequencing approaches unity approximately as 1 plus 1/k, where k is the least number of tasks on any processor, or where k is the number of tasks on a processor whose last task terminates the schedule.

Original languageEnglish (US)
Pages (from-to)17-25
Number of pages9
JournalRev Fr Autom Inf Rech Oper
Volume10
Issue number5 Suppl
StatePublished - Jan 1 1976
Externally publishedYes

ASJC Scopus subject areas

  • Engineering(all)

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